TSTP Solution File: NUM429+3 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM429+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 13:09:39 EDT 2022
% Result : Theorem 0.22s 0.42s
% Output : Proof 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 20 ( 1 unt; 10 typ; 0 def)
% Number of atoms : 39 ( 13 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 33 ( 4 ~; 0 |; 28 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 6 >; 5 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 !; 13 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(sdtpldt0_type,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(smndt0_type,type,
smndt0: $i > $i ).
tff(xb_type,type,
xb: $i ).
tff(xa_type,type,
xa: $i ).
tff(sdtasdt0_type,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(xq_type,type,
xq: $i ).
tff(aInteger0_type,type,
aInteger0: $i > $o ).
tff(aDivisorOf0_type,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff(sdteqdtlpzmzozddtrp0_type,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff(xc_type,type,
xc: $i ).
tff(1,plain,
( ~ ? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ) )
<=> ~ ? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
~ ? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(3,plain,
~ ? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ) ),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,axiom,
( ? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xc)) ) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__853) ).
tff(5,plain,
( ? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xc)) ) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc))) ),
inference(and_elim,[status(thm)],[4]) ).
tff(6,plain,
( ? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xc)) ) ) ),
inference(and_elim,[status(thm)],[5]) ).
tff(7,plain,
( ? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
inference(and_elim,[status(thm)],[6]) ).
tff(8,plain,
( ? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))) ),
inference(and_elim,[status(thm)],[7]) ).
tff(9,plain,
? [W0: $i] :
( aInteger0(W0)
& ( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ) ),
inference(and_elim,[status(thm)],[8]) ).
tff(10,plain,
$false,
inference(unit_resolution,[status(thm)],[9,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM429+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.37 % Computer : n008.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Fri Sep 2 10:25:10 EDT 2022
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.37 Usage: tptp [options] [-file:]file
% 0.13/0.37 -h, -? prints this message.
% 0.13/0.37 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.37 -m, -model generate model.
% 0.13/0.37 -p, -proof generate proof.
% 0.13/0.37 -c, -core generate unsat core of named formulas.
% 0.13/0.37 -st, -statistics display statistics.
% 0.13/0.37 -t:timeout set timeout (in second).
% 0.13/0.37 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.37 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.37 -<param>:<value> configuration parameter and value.
% 0.13/0.37 -o:<output-file> file to place output in.
% 0.22/0.42 % SZS status Theorem
% 0.22/0.42 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------